{"id":493,"date":"2022-09-20T17:02:56","date_gmt":"2022-09-20T17:02:56","guid":{"rendered":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/?post_type=part&p=493"},"modified":"2022-09-20T17:35:31","modified_gmt":"2022-09-20T17:35:31","slug":"notations","status":"publish","type":"part","link":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/part\/notations\/","title":{"raw":"9 Notations","rendered":"9 Notations"},"content":{"raw":"
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
C<\/em><\/td>\r\nmeasured concentration of radioactive tracer (Radioactivity L-3<\/sup>)<\/td>\r\n<\/tr>\r\n
c<\/em>o<\/em><\/sub><\/td>\r\ninitial concentration of radioactive tracer (Radioactivity L-3<\/sup>)<\/td>\r\n<\/tr>\r\n
c<\/em>1<\/em><\/sub><\/td>\r\nconcentration of conservative tracer in end-member water 1 (Radioactivity L-3<\/sup>) or (ML-3<\/sup>)<\/td>\r\n<\/tr>\r\n
c<\/em>2<\/em><\/sub><\/td>\r\nconcentration of conservative tracer in end-member water 2 (Radioactivity L-3<\/sup>) or (ML-3<\/sup>)<\/td>\r\n<\/tr>\r\n
c<\/em>Ai<\/em><\/sub><\/td>\r\nconcentration of tracer A in end-member water n (Radioactivity L-3<\/sup>) or (ML-3<\/sup>)<\/td>\r\n<\/tr>\r\n
c<\/em>Am<\/em><\/sub><\/td>\r\nconcentration of tracer A in mixture (Radioactivity L-3<\/sup>) or (ML-3<\/sup>)<\/td>\r\n<\/tr>\r\n
c<\/em>d<\/em><\/sub><\/td>\r\ndaughter concentration (Radioactivity L-3<\/sup>)<\/td>\r\n<\/tr>\r\n
C<\/em>a<\/em><\/sub><\/td>\r\nconcentration in dry air (ML-3<\/sup>)<\/td>\r\n<\/tr>\r\n
c<\/em>m<\/em><\/sub><\/td>\r\nconcentration in the mixed water (ML-3<\/sup>)<\/td>\r\n<\/tr>\r\n
c<\/em>p<\/em><\/sub><\/td>\r\nparent concentration (Radioactivity L-3<\/sup>)<\/td>\r\n<\/tr>\r\n
C<\/em>w<\/em><\/sub><\/td>\r\nconcentration dissolved in water (ML-3<\/sup>)<\/td>\r\n<\/tr>\r\n
D<\/em><\/td>\r\ndiffusion coefficient of the tracer (L2<\/sup>T-<\/sup>1<\/sup>)<\/td>\r\n<\/tr>\r\n
\u03b4<\/em><\/td>\r\nisotope ratio relative to a standard (dimensionless)<\/td>\r\n<\/tr>\r\n
f<\/em><\/td>\r\nproportion of end-member 1 in the mixture (dimensionless)<\/td>\r\n<\/tr>\r\n
1\u00a0-\u00a0f<\/em><\/td>\r\nproportion of end-member 2 in the mixture (dimensionless)<\/td>\r\n<\/tr>\r\n
f<\/em>n<\/em><\/sub><\/td>\r\nproportion of end-member \u2018n\u2019 (dimensionless)<\/td>\r\n<\/tr>\r\n
H<\/em><\/td>\r\nthickness (L)<\/td>\r\n<\/tr>\r\n
K<\/em>H<\/em><\/sub><\/td>\r\nHenry\u2019s Law constant (dimensionless)<\/td>\r\n<\/tr>\r\n
\u03bb<\/em><\/td>\r\ndecay constant (T-<\/sup>1<\/sup>)<\/td>\r\n<\/tr>\r\n
v<\/em>h<\/em><\/sub><\/td>\r\nhorizontal groundwater velocity (LT-<\/sup>1<\/sup>)<\/td>\r\n<\/tr>\r\n
P<\/em><\/td>\r\ntotal atmospheric pressure (ML-<\/sup>1<\/sup>T-<\/sup>2<\/sup>)<\/td>\r\n<\/tr>\r\n
p<\/em>H2O<\/em><\/sub><\/td>\r\nwater vapor pressure (ML-<\/sup>1<\/sup>T-<\/sup>2<\/sup>)<\/td>\r\n<\/tr>\r\n
R<\/em><\/td>\r\nin Equation 4, ratio of isotope amount, usually less abundant to most abundant isotope (dimensionless)<\/td>\r\n<\/tr>\r\n
R<\/em><\/td>\r\nin Equation 10, constant recharge (LT-<\/sup>1<\/sup>)<\/td>\r\n<\/tr>\r\n
R<\/em><\/td>\r\nin Equation 13, recharge rate (LT-<\/sup>1<\/sup>)<\/td>\r\n<\/tr>\r\n
t<\/em><\/td>\r\nin Equation 1, time (T)<\/td>\r\n<\/tr>\r\n
t<\/em><\/td>\r\nin Equation 10, groundwater age (T)<\/td>\r\n<\/tr>\r\n
t<\/em>1<\/sub> and t<\/em>2<\/sub><\/td>\r\ngroundwater ages at two points in the confined part of the aquifer (T)<\/td>\r\n<\/tr>\r\n
\u03b8<\/em><\/td>\r\nporosity (dimensionless)<\/td>\r\n<\/tr>\r\n
t<\/em>1\/2<\/sub><\/td>\r\nhalf-life of radioactive tracer (T)<\/td>\r\n<\/tr>\r\n
t<\/em>mix<\/sub><\/td>\r\nextent of well mixing (measured in years) (T)<\/td>\r\n<\/tr>\r\n
x<\/em><\/td>\r\ndistance (L)<\/td>\r\n<\/tr>\r\n
x<\/em>2<\/sub> - x<\/em>1<\/sub><\/td>\r\ndistance between locations (L)<\/td>\r\n<\/tr>\r\n
z<\/em><\/td>\r\ndepth below the water table (L)<\/td>\r\n<\/tr>\r\n
z<\/em>well<\/sub><\/td>\r\nlength of the well intake zone (L)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>","rendered":"
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
C<\/em><\/td>\nmeasured concentration of radioactive tracer (Radioactivity L-3<\/sup>)<\/td>\n<\/tr>\n
c<\/em>o<\/em><\/sub><\/td>\ninitial concentration of radioactive tracer (Radioactivity L-3<\/sup>)<\/td>\n<\/tr>\n
c<\/em>1<\/em><\/sub><\/td>\nconcentration of conservative tracer in end-member water 1 (Radioactivity L-3<\/sup>) or (ML-3<\/sup>)<\/td>\n<\/tr>\n
c<\/em>2<\/em><\/sub><\/td>\nconcentration of conservative tracer in end-member water 2 (Radioactivity L-3<\/sup>) or (ML-3<\/sup>)<\/td>\n<\/tr>\n
c<\/em>Ai<\/em><\/sub><\/td>\nconcentration of tracer A in end-member water n (Radioactivity L-3<\/sup>) or (ML-3<\/sup>)<\/td>\n<\/tr>\n
c<\/em>Am<\/em><\/sub><\/td>\nconcentration of tracer A in mixture (Radioactivity L-3<\/sup>) or (ML-3<\/sup>)<\/td>\n<\/tr>\n
c<\/em>d<\/em><\/sub><\/td>\ndaughter concentration (Radioactivity L-3<\/sup>)<\/td>\n<\/tr>\n
C<\/em>a<\/em><\/sub><\/td>\nconcentration in dry air (ML-3<\/sup>)<\/td>\n<\/tr>\n
c<\/em>m<\/em><\/sub><\/td>\nconcentration in the mixed water (ML-3<\/sup>)<\/td>\n<\/tr>\n
c<\/em>p<\/em><\/sub><\/td>\nparent concentration (Radioactivity L-3<\/sup>)<\/td>\n<\/tr>\n
C<\/em>w<\/em><\/sub><\/td>\nconcentration dissolved in water (ML-3<\/sup>)<\/td>\n<\/tr>\n
D<\/em><\/td>\ndiffusion coefficient of the tracer (L2<\/sup>T–<\/sup>1<\/sup>)<\/td>\n<\/tr>\n
\u03b4<\/em><\/td>\nisotope ratio relative to a standard (dimensionless)<\/td>\n<\/tr>\n
f<\/em><\/td>\nproportion of end-member 1 in the mixture (dimensionless)<\/td>\n<\/tr>\n
1\u00a0–\u00a0f<\/em><\/td>\nproportion of end-member 2 in the mixture (dimensionless)<\/td>\n<\/tr>\n
f<\/em>n<\/em><\/sub><\/td>\nproportion of end-member \u2018n\u2019 (dimensionless)<\/td>\n<\/tr>\n
H<\/em><\/td>\nthickness (L)<\/td>\n<\/tr>\n
K<\/em>H<\/em><\/sub><\/td>\nHenry\u2019s Law constant (dimensionless)<\/td>\n<\/tr>\n
\u03bb<\/em><\/td>\ndecay constant (T–<\/sup>1<\/sup>)<\/td>\n<\/tr>\n
v<\/em>h<\/em><\/sub><\/td>\nhorizontal groundwater velocity (LT–<\/sup>1<\/sup>)<\/td>\n<\/tr>\n
P<\/em><\/td>\ntotal atmospheric pressure (ML–<\/sup>1<\/sup>T–<\/sup>2<\/sup>)<\/td>\n<\/tr>\n
p<\/em>H2O<\/em><\/sub><\/td>\nwater vapor pressure (ML–<\/sup>1<\/sup>T–<\/sup>2<\/sup>)<\/td>\n<\/tr>\n
R<\/em><\/td>\nin Equation 4, ratio of isotope amount, usually less abundant to most abundant isotope (dimensionless)<\/td>\n<\/tr>\n
R<\/em><\/td>\nin Equation 10, constant recharge (LT–<\/sup>1<\/sup>)<\/td>\n<\/tr>\n
R<\/em><\/td>\nin Equation 13, recharge rate (LT–<\/sup>1<\/sup>)<\/td>\n<\/tr>\n
t<\/em><\/td>\nin Equation 1, time (T)<\/td>\n<\/tr>\n
t<\/em><\/td>\nin Equation 10, groundwater age (T)<\/td>\n<\/tr>\n
t<\/em>1<\/sub> and t<\/em>2<\/sub><\/td>\ngroundwater ages at two points in the confined part of the aquifer (T)<\/td>\n<\/tr>\n
\u03b8<\/em><\/td>\nporosity (dimensionless)<\/td>\n<\/tr>\n
t<\/em>1\/2<\/sub><\/td>\nhalf-life of radioactive tracer (T)<\/td>\n<\/tr>\n
t<\/em>mix<\/sub><\/td>\nextent of well mixing (measured in years) (T)<\/td>\n<\/tr>\n
x<\/em><\/td>\ndistance (L)<\/td>\n<\/tr>\n
x<\/em>2<\/sub> – x<\/em>1<\/sub><\/td>\ndistance between locations (L)<\/td>\n<\/tr>\n
z<\/em><\/td>\ndepth below the water table (L)<\/td>\n<\/tr>\n
z<\/em>well<\/sub><\/td>\nlength of the well intake zone (L)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n","protected":false},"parent":0,"menu_order":9,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-493","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/wp-json\/pressbooks\/v2\/parts\/493","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":7,"href":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/wp-json\/pressbooks\/v2\/parts\/493\/revisions"}],"predecessor-version":[{"id":504,"href":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/wp-json\/pressbooks\/v2\/parts\/493\/revisions\/504"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/wp-json\/wp\/v2\/media?parent=493"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/wp-json\/wp\/v2\/contributor?post=493"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-isotopes-and-environmental-tracers-as-indicators-of-groundwater-flow\/wp-json\/wp\/v2\/license?post=493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}